The phrase "the fact that" is commonly used in writing to introduce a statement of truth or reality. However, there are several synonyms that can be used to add variety to your writing. One possible option is "the reality that", which conveys a similar meaning but also emphasizes the concrete nature of the statement. Another alternative is to use "the truth that", which puts the focus on the veracity of the assertion. Other synonyms for "the fact that" include "the circumstance that", "the situation that" and "the condition that". Experimenting with these different phrases can help add complexity and nuance to your writing, while also making it more engaging for your reader.